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3x(4x-5)+3 and find its values for(I)x=3 (ii)x=1/2?
Verified Answer
3x(4x-5)+3 and find its values for(I)x=3 (ii)x=1/2?
3x(4x - 5) + 3 = 3x X 4x + 3x X (-5) + 3
= (3 x 4) x X x X +3 X (-5) X x +3
= 12 X x2 + (-15) x X +3
= 12x2 - 15x + 3
(i) For x = 3 , 12x2 - 15x + 3 = 12(3)2 - 15(3) + 3
= 12 x 9 - 45 + 3
= 111 - 45 = 66
This question is part of UPSC exam. View all Class 8 courses
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3x(4x-5)+3 and find its values for(I)x=3 (ii)x=1/2?
Expression Simplification
To evaluate the expression 3x(4x - 5) + 3, we first simplify it:
- Distribute 3x:
- 3x * 4x = 12x²
- 3x * -5 = -15x
- Combine the terms:
- The expression becomes 12x² - 15x + 3.
Value Calculation for x = 3
Now, let’s substitute x = 3 into the simplified expression:
- Substitute:
- 12(3)² - 15(3) + 3
- Calculate:
- 12(9) - 15(3) + 3
- 108 - 45 + 3
- 108 - 45 = 63
- 63 + 3 = 66
Thus, the value of the expression when x = 3 is 66.
Value Calculation for x = 1/2
Next, we substitute x = 1/2 into the simplified expression:
- Substitute:
- 12(1/2)² - 15(1/2) + 3
- Calculate:
- 12(1/4) - 15(1/2) + 3
- 3 - 7.5 + 3
- 3 + 3 = 6
- 6 - 7.5 = -1.5
Thus, the value of the expression when x = 1/2 is -1.5.
Summary of Results
- For x = 3: 66
- For x = 1/2: -1.5
To evaluate the expression 3x(4x - 5) + 3, we first simplify it:
- Distribute 3x:
- 3x * 4x = 12x²
- 3x * -5 = -15x
- Combine the terms:
- The expression becomes 12x² - 15x + 3.
Value Calculation for x = 3
Now, let’s substitute x = 3 into the simplified expression:
- Substitute:
- 12(3)² - 15(3) + 3
- Calculate:
- 12(9) - 15(3) + 3
- 108 - 45 + 3
- 108 - 45 = 63
- 63 + 3 = 66
Thus, the value of the expression when x = 3 is 66.
Value Calculation for x = 1/2
Next, we substitute x = 1/2 into the simplified expression:
- Substitute:
- 12(1/2)² - 15(1/2) + 3
- Calculate:
- 12(1/4) - 15(1/2) + 3
- 3 - 7.5 + 3
- 3 + 3 = 6
- 6 - 7.5 = -1.5
Thus, the value of the expression when x = 1/2 is -1.5.
Summary of Results
- For x = 3: 66
- For x = 1/2: -1.5
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3x(4x-5)+3 and find its values for(I)x=3 (ii)x=1/2?
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3x(4x-5)+3 and find its values for(I)x=3 (ii)x=1/2? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 3x(4x-5)+3 and find its values for(I)x=3 (ii)x=1/2? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3x(4x-5)+3 and find its values for(I)x=3 (ii)x=1/2?.
3x(4x-5)+3 and find its values for(I)x=3 (ii)x=1/2? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 3x(4x-5)+3 and find its values for(I)x=3 (ii)x=1/2? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3x(4x-5)+3 and find its values for(I)x=3 (ii)x=1/2?.
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